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goldenfox [79]
3 years ago
14

We are using the formula P=%(W) (Part = Percent x Whole)

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

well sit down and pay attion in class

Step-by-step explanation:

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Tatiana [17]
The next number is 240
6 0
3 years ago
(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)
ICE Princess25 [194]

Answer:

x = -1

Step-by-step explanation:

7 0
3 years ago
3. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared
navik [9.2K]

The number of months until the insect population reaches 40 thousand is 14.29 months and the limiting factor on the insect population as time progresses is 250 thousands.

Given that population P(t) (in thousands) of insects in t months after being transplanted is P(t)=(50(1+0.05t))/(2+0.01t).

(a) Firstly, we will find the number of months until the insect population reaches 40 thousand by equating the given population expression with 40, we get

P(t)=40

(50(1+0.05t))/(2+0.01t)=40

Cross multiply both sides, we get

50(1+0.05t)=40(2+0.01t)

Apply the distributive property a(b+c)=ab+ac, we get

50+2.5t=80+0.4t

Subtract 0.4t and 50 from both sides, we get

50+2.5t-0.4t-50=80+0.4t-0.4t-50

2.1t=30

Divide both sides with 2.1, we get

t=14.29 months

(b) Now, we will find the limiting factor on the insect population as time progresses by taking limit on both sides with t→∞, we get

\begin{aligned}\lim_{t \rightarrow \infty}P(t)&=\lim_{t \rightarrow \infty}\frac{50(1+0.05t)}{2+0.01t}\\ &=\lim_{t \rightarrow \infty}\frac{50(\frac{1}{t}+0.05)}{\frac{2}{t}+0.01}\\ &=50\times \frac{0.05}{0.01}\\ &=250\end

(c) Further, we will sketch the graph of the function using the window 0≤t≤700 and 0≤p(t)≤700 as shown in the figure.

Hence, when the population P(t) (in thousands) of insects in t months after being transplanted by P(t)=(50(1+0.05t))/(2+0.01t) then the number of months until the insect population reaches 40 thousand 14.29 months and the limiting factor on the insect population is 250 thousand and the graph is shown in the figure.

Learn more about limiting factor from here brainly.com/question/18415071.

#SPJ1

8 0
2 years ago
Someone please help me I will give brain list!!!!!!!
wel
The answer is 1,632. You multiply 16 by 17 then by 12 to get 3,264. But since it is a triangle, which is half of a rectangle, you divide by 2, and you get 1,632. Hope this helps!

Aye Sir!
8 0
3 years ago
Find the equation of the line that passes through (-1,2)and is perpendicular to 2y=x-3
Umnica [9.8K]
Sorry I don’t have roller
Hope it’s right
Best luck with your studying

4 0
2 years ago
Read 2 more answers
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